Showing math.CAShow all
3 papers · 1 filter
math.CA2026
On uniqueness sets and coefficients of multiple Walsh series converging over cubes
Anna Kazakova
We study problems on uniqueness sets (-sets) for multiple Walsh series converging over cubes and the properties of the coefficients of such series. New broad classes of -sets…
math.CA2025
On multiple null-series in the Walsh system, M- and U- sets
A. D. Kazakova, M. G. Plotnikov
A family of M-sets and null-series for the d-dimensional Walsh system is constructed if we consider convergence over rectangles, cubes, or iterated convergence. Non-empty portions…
math.CA2025
On lacunarity and uniqueness for -ary analogues of Rademacher chaos
A. D. Kazakova, M. G. Plotnikov
For two systems of functions that are p-ary analogues of Rademacher chaos, their q-lacunarity is proved and their uniqueness sets are studied.